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Finding the Fourth Proportional to 13,107.20, 19,664 and 6,180

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Solution

The fourth proportional to 13,107.20, 19,664 and 6,180 is: 9,271.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,107.20 : 19,664 = 6,180 : x
  2. Step 2: Convert to fraction form
    13,107.20/19,664 = 6,180/x
  3. Step 3: Cross multiply
    13,107.20x = 19,664 × 6,180
  4. Step 4: Simplify right side
    13,107.20x = 121,523,520
  5. Step 5: Solve for x
    x = 121,523,520/13,107.20
  6. Step 6: Final answer
    x = 9,271.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.